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Finding the Fourth Proportional to 293.47, 440.08 and 171.82

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Solution

The fourth proportional to 293.47, 440.08 and 171.82 is: 257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.47 : 440.08 = 171.82 : x
  2. Step 2: Convert to fraction form
    293.47/440.08 = 171.82/x
  3. Step 3: Cross multiply
    293.47x = 440.08 × 171.82
  4. Step 4: Simplify right side
    293.47x = 75,614.55
  5. Step 5: Solve for x
    x = 75,614.55/293.47
  6. Step 6: Final answer
    x = 257.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.